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Finding the Fourth Proportional to 641.10, 961.58 and 294.46

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Solution

The fourth proportional to 641.10, 961.58 and 294.46 is: 441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.10 : 961.58 = 294.46 : x
  2. Step 2: Convert to fraction form
    641.10/961.58 = 294.46/x
  3. Step 3: Cross multiply
    641.10x = 961.58 × 294.46
  4. Step 4: Simplify right side
    641.10x = 283,146.85
  5. Step 5: Solve for x
    x = 283,146.85/641.10
  6. Step 6: Final answer
    x = 441.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.